Vassily Gorbunov (University of Aberdeen)
vgorb@maths.abdn.ac.uk In this talk we calculate the elliptic genus of certain complete intersections in products of projective spaces. We show that it is equal to the conformal theory elliptic genus of the Landau-Ginzburg models that are, according to Hori and Vafa, mirror partners of these complete intersections. This provides additional evidence of the validity of their construction of mirror partners for these complete intersections and yields explicit formulas for the elliptic genus of these manifolds.